Table-driven Mellin transform for classical integrands with shift and substitution rules
MellinTransform[expr, x, s]
MellinTransform[expr, {x1, x2, …}, {s1, s2, …}]
MellinTransform[E ^ (-a x), x, s]
→ Gamma[s]/a^sMellinTransform[Sin[x - y ^ 2], {x, y}, {s, t}]
→ {2*Pi*DiracDelta[I*s]*Sin[x - y^2], 2*Pi*DiracDelta[I*t]*Sin[x - y^2]}MellinTransform[x, x, s]
→ 2*Pi*DiracDelta[I*(1 + s)]- Assumptions — default $Assumptions
- GenerateConditions — default False
- Method — default Automatic